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Finding the Fourth Proportional to 138,828.57, 208,242.84 and 33,647.54

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Solution

The fourth proportional to 138,828.57, 208,242.84 and 33,647.54 is: 50,471.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,828.57 : 208,242.84 = 33,647.54 : x
  2. Step 2: Convert to fraction form
    138,828.57/208,242.84 = 33,647.54/x
  3. Step 3: Cross multiply
    138,828.57x = 208,242.84 × 33,647.54
  4. Step 4: Simplify right side
    138,828.57x = 7,006,859,288.61
  5. Step 5: Solve for x
    x = 7,006,859,288.61/138,828.57
  6. Step 6: Final answer
    x = 50,471.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.